# Prime probability

**Discrete Mathematics**Level 3

Five distinct numbers are randomly chosen from the first ten prime numbers:

\[2, 3, 5, 7, 11, 13, 17, 19, 23, 29.\]

What is the probability that the median of the five selected number is 17?

If the probability can be express as \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \(a+b\).